1090094400 has 504 divisors, whose sum is σ = 4226731704. Its totient is φ = 265420800.

The previous prime is 1090094399. The next prime is 1090094431. The reversal of 1090094400 is 44900901.

It can be written as a sum of positive squares in 12 ways, for example, as 404492544 + 685601856 = 20112^2 + 26184^2 .

It is a super-2 number, since 2×1090094400² = 2376611601822720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14932764 + ... + 14932836.

Almost surely, 2^1090094400 is an apocalyptic number.

1090094400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1090094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113365852).

1090094400 is an abundant number, since it is smaller than the sum of its proper divisors (3136637304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1090094400 is a wasteful number, since it uses less digits than its factorization.

1090094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1090094400 is about 33016.5776542633. The cubic root of 1090094400 is about 1029.1721755147.

The spelling of 1090094400 in words is "one billion, ninety million, ninety-four thousand, four hundred".